SOLUTION: \[f(x) = \frac{3x - 7}{x + 1} Find the domain and range of $f$, give answer interval form. Thank You!

Algebra.Com
Question 1059941: \[f(x) = \frac{3x - 7}{x + 1}
Find the domain and range of $f$, give answer interval form.
Thank You!

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
f(x)=(3x-7)/(x+1)



Zero at and undefined at .
INTERVAL                 EXAMPLE x      SIGN OF f(x)
                -3            (-)/(-)=(+), positive
                   0            (-)/(+)=(-), negative
                   4            (+)/(+)=(+), positive

The function has a horizontal asymptote of y=3.
Will f(x) ever be ?

----impossible to solve this. No solution.

RANGE: The real numbers such that
DOMAIN: Set of real numbers such that



RELATED QUESTIONS

Let \[f(x) = \frac{3x - 7}{x + 1}.\]Find the range of $f$. Give your answer as an... (answered by jim_thompson5910)
Let \[f(x) = \frac{3x - 7}{x + 1}.\] Find the domain of $f$. Give your answer as an... (answered by ikleyn)
Let f(x) = 3x-7/x+1 Find the domain of f. Give your answer as an... (answered by josgarithmetic)
Let f(x)= (3x-7/x+1). Find the domain of f. Give your answer as an... (answered by josgarithmetic)
Suppose that the functions f and g are defined as follows f(x)=(1)/(5x^(2)+4)... (answered by oscargut)
Question 3.7/12 Let f(x)=(x+1)2 Give the largest domain on which f is one-to-one... (answered by KMST)
Graph f as a solid line and F-1 as a dashed line in the same rectangular coordinate... (answered by CPhill)
Find the domain and range of the following function in interval form. f(x)= {{{ sqrt(... (answered by Theo)
Find the domain and range of the following function in interval form f(x)={{{ sqrt(... (answered by MathLover1)